Properties

Label 507.2.m.a.40.12
Level $507$
Weight $2$
Character 507.40
Analytic conductor $4.048$
Analytic rank $0$
Dimension $180$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [507,2,Mod(40,507)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(507, base_ring=CyclotomicField(26))
 
chi = DirichletCharacter(H, H._module([0, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("507.40");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 507 = 3 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 507.m (of order \(13\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(4.04841538248\)
Analytic rank: \(0\)
Dimension: \(180\)
Relative dimension: \(15\) over \(\Q(\zeta_{13})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{13}]$

Embedding invariants

Embedding label 40.12
Character \(\chi\) \(=\) 507.40
Dual form 507.2.m.a.469.12

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.56583 + 0.385942i) q^{2} +(-0.120537 + 0.992709i) q^{3} +(0.531960 + 0.279194i) q^{4} +(1.72727 - 2.50239i) q^{5} +(-0.571868 + 1.50789i) q^{6} +(1.75934 + 1.55864i) q^{7} +(-1.68903 - 1.49635i) q^{8} +(-0.970942 - 0.239316i) q^{9} +O(q^{10})\) \(q+(1.56583 + 0.385942i) q^{2} +(-0.120537 + 0.992709i) q^{3} +(0.531960 + 0.279194i) q^{4} +(1.72727 - 2.50239i) q^{5} +(-0.571868 + 1.50789i) q^{6} +(1.75934 + 1.55864i) q^{7} +(-1.68903 - 1.49635i) q^{8} +(-0.970942 - 0.239316i) q^{9} +(3.67039 - 3.25168i) q^{10} +(2.53130 - 0.623911i) q^{11} +(-0.341279 + 0.494428i) q^{12} +(1.58278 + 3.23957i) q^{13} +(2.15328 + 3.11957i) q^{14} +(2.27594 + 2.01631i) q^{15} +(-2.74979 - 3.98375i) q^{16} +(-1.60100 - 1.41836i) q^{17} +(-1.42797 - 0.749455i) q^{18} +7.26868 q^{19} +(1.61749 - 0.848924i) q^{20} +(-1.75934 + 1.55864i) q^{21} +4.20439 q^{22} -0.172131 q^{23} +(1.68903 - 1.49635i) q^{24} +(-1.50544 - 3.96952i) q^{25} +(1.22808 + 5.68347i) q^{26} +(0.354605 - 0.935016i) q^{27} +(0.500735 + 1.32033i) q^{28} +(-9.06847 - 2.23518i) q^{29} +(2.78556 + 4.03558i) q^{30} +(-3.10281 + 8.18145i) q^{31} +(-1.16785 - 3.07937i) q^{32} +(0.314247 + 2.58805i) q^{33} +(-1.95948 - 2.83880i) q^{34} +(6.93917 - 1.71035i) q^{35} +(-0.449686 - 0.398387i) q^{36} +(-0.291787 + 0.769378i) q^{37} +(11.3815 + 2.80529i) q^{38} +(-3.40673 + 1.18076i) q^{39} +(-6.66186 + 1.64200i) q^{40} +(-0.194028 + 1.59796i) q^{41} +(-3.35637 + 1.76156i) q^{42} +(-2.26140 - 5.96283i) q^{43} +(1.52074 + 0.374830i) q^{44} +(-2.27594 + 2.01631i) q^{45} +(-0.269527 - 0.0664325i) q^{46} +(-10.3941 + 5.45525i) q^{47} +(4.28616 - 2.24955i) q^{48} +(-0.177837 - 1.46462i) q^{49} +(-0.825258 - 6.79661i) q^{50} +(1.60100 - 1.41836i) q^{51} +(-0.0624911 + 2.16522i) q^{52} +(2.82893 + 2.50621i) q^{53} +(0.916113 - 1.32722i) q^{54} +(2.81099 - 7.41197i) q^{55} +(-0.639307 - 5.26517i) q^{56} +(-0.876142 + 7.21568i) q^{57} +(-13.3370 - 6.99981i) q^{58} +(5.32917 - 7.72064i) q^{59} +(0.647768 + 1.70802i) q^{60} +(-1.27106 + 1.12606i) q^{61} +(-8.01605 + 11.6132i) q^{62} +(-1.33521 - 1.93438i) q^{63} +(0.526748 + 4.33816i) q^{64} +(10.8405 + 1.63488i) q^{65} +(-0.506783 + 4.17373i) q^{66} +(0.803644 - 0.421785i) q^{67} +(-0.455668 - 1.20150i) q^{68} +(0.0207480 - 0.170876i) q^{69} +11.5257 q^{70} +(-0.134159 + 1.10490i) q^{71} +(1.28185 + 1.85708i) q^{72} +(-5.19641 + 1.28080i) q^{73} +(-0.753824 + 1.09210i) q^{74} +(4.12204 - 1.01599i) q^{75} +(3.86664 + 2.02937i) q^{76} +(5.42587 + 2.84772i) q^{77} +(-5.79006 + 0.534061i) q^{78} +(-14.6342 + 7.68063i) q^{79} -14.7185 q^{80} +(0.885456 + 0.464723i) q^{81} +(-0.920537 + 2.42726i) q^{82} +(-1.69355 - 13.9476i) q^{83} +(-1.37106 + 0.337936i) q^{84} +(-6.31464 + 1.55642i) q^{85} +(-1.23966 - 10.2095i) q^{86} +(3.31196 - 8.73293i) q^{87} +(-5.20904 - 2.73391i) q^{88} -8.44011 q^{89} +(-4.34192 + 2.27881i) q^{90} +(-2.26466 + 8.16648i) q^{91} +(-0.0915665 - 0.0480578i) q^{92} +(-7.74779 - 4.06636i) q^{93} +(-18.3808 + 4.53046i) q^{94} +(12.5550 - 18.1890i) q^{95} +(3.19769 - 0.788159i) q^{96} +(7.13013 + 10.3298i) q^{97} +(0.286796 - 2.36198i) q^{98} -2.60706 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 180 q - q^{2} + 15 q^{3} - 15 q^{4} - 2 q^{5} + q^{6} + 4 q^{7} + 3 q^{8} - 15 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 180 q - q^{2} + 15 q^{3} - 15 q^{4} - 2 q^{5} + q^{6} + 4 q^{7} + 3 q^{8} - 15 q^{9} - 2 q^{10} - 4 q^{11} + 15 q^{12} - 14 q^{13} + 6 q^{14} + 2 q^{15} - 15 q^{16} - 2 q^{17} - q^{18} + 2 q^{20} - 4 q^{21} - 28 q^{22} - 52 q^{23} - 3 q^{24} - 67 q^{25} - 40 q^{26} + 15 q^{27} - 4 q^{28} - 27 q^{29} + 2 q^{30} + 22 q^{31} - 5 q^{32} - 9 q^{33} + 63 q^{34} - 31 q^{35} - 15 q^{36} + 2 q^{37} + 65 q^{38} + q^{39} + 45 q^{40} - 6 q^{41} + 59 q^{42} - 60 q^{43} - 35 q^{44} - 2 q^{45} - 156 q^{46} + 15 q^{48} + 59 q^{49} - 51 q^{50} + 2 q^{51} + 66 q^{52} + 50 q^{53} + q^{54} + 55 q^{55} - 14 q^{56} - 13 q^{57} + 36 q^{58} + 92 q^{59} - 15 q^{60} + 6 q^{61} + 61 q^{62} + 4 q^{63} - 203 q^{64} - 54 q^{65} + 54 q^{66} + 86 q^{67} + 32 q^{68} + 112 q^{70} + 39 q^{71} + 3 q^{72} - 158 q^{73} - 80 q^{74} + 15 q^{75} + 130 q^{76} - 64 q^{77} + 66 q^{78} - 10 q^{79} - 310 q^{80} - 15 q^{81} + 59 q^{82} - 82 q^{83} + 4 q^{84} + 22 q^{85} - q^{86} + 40 q^{87} + 10 q^{88} + 2 q^{89} - 2 q^{90} - 100 q^{91} - 54 q^{92} + 43 q^{93} + 65 q^{94} + 58 q^{95} - 60 q^{96} + 16 q^{97} - 113 q^{98} - 30 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).

\(n\) \(170\) \(340\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{13}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.56583 + 0.385942i 1.10721 + 0.272902i 0.750208 0.661202i \(-0.229953\pi\)
0.357001 + 0.934104i \(0.383799\pi\)
\(3\) −0.120537 + 0.992709i −0.0695919 + 0.573141i
\(4\) 0.531960 + 0.279194i 0.265980 + 0.139597i
\(5\) 1.72727 2.50239i 0.772460 1.11910i −0.217265 0.976113i \(-0.569713\pi\)
0.989724 0.142988i \(-0.0456712\pi\)
\(6\) −0.571868 + 1.50789i −0.233464 + 0.615595i
\(7\) 1.75934 + 1.55864i 0.664967 + 0.589110i 0.926596 0.376059i \(-0.122721\pi\)
−0.261628 + 0.965169i \(0.584259\pi\)
\(8\) −1.68903 1.49635i −0.597162 0.529039i
\(9\) −0.970942 0.239316i −0.323647 0.0797719i
\(10\) 3.67039 3.25168i 1.16068 1.02827i
\(11\) 2.53130 0.623911i 0.763217 0.188116i 0.161552 0.986864i \(-0.448350\pi\)
0.601666 + 0.798748i \(0.294504\pi\)
\(12\) −0.341279 + 0.494428i −0.0985187 + 0.142729i
\(13\) 1.58278 + 3.23957i 0.438985 + 0.898494i
\(14\) 2.15328 + 3.11957i 0.575488 + 0.833739i
\(15\) 2.27594 + 2.01631i 0.587646 + 0.520609i
\(16\) −2.74979 3.98375i −0.687446 0.995938i
\(17\) −1.60100 1.41836i −0.388299 0.344003i 0.446278 0.894894i \(-0.352749\pi\)
−0.834577 + 0.550892i \(0.814288\pi\)
\(18\) −1.42797 0.749455i −0.336575 0.176648i
\(19\) 7.26868 1.66755 0.833774 0.552105i \(-0.186175\pi\)
0.833774 + 0.552105i \(0.186175\pi\)
\(20\) 1.61749 0.848924i 0.361682 0.189825i
\(21\) −1.75934 + 1.55864i −0.383919 + 0.340123i
\(22\) 4.20439 0.896378
\(23\) −0.172131 −0.0358917 −0.0179459 0.999839i \(-0.505713\pi\)
−0.0179459 + 0.999839i \(0.505713\pi\)
\(24\) 1.68903 1.49635i 0.344772 0.305441i
\(25\) −1.50544 3.96952i −0.301088 0.793905i
\(26\) 1.22808 + 5.68347i 0.240847 + 1.11462i
\(27\) 0.354605 0.935016i 0.0682437 0.179944i
\(28\) 0.500735 + 1.32033i 0.0946300 + 0.249519i
\(29\) −9.06847 2.23518i −1.68397 0.415062i −0.722810 0.691047i \(-0.757150\pi\)
−0.961162 + 0.275985i \(0.910996\pi\)
\(30\) 2.78556 + 4.03558i 0.508571 + 0.736792i
\(31\) −3.10281 + 8.18145i −0.557282 + 1.46943i 0.299674 + 0.954042i \(0.403122\pi\)
−0.856956 + 0.515390i \(0.827647\pi\)
\(32\) −1.16785 3.07937i −0.206449 0.544361i
\(33\) 0.314247 + 2.58805i 0.0547033 + 0.450522i
\(34\) −1.95948 2.83880i −0.336049 0.486851i
\(35\) 6.93917 1.71035i 1.17293 0.289102i
\(36\) −0.449686 0.398387i −0.0749477 0.0663979i
\(37\) −0.291787 + 0.769378i −0.0479694 + 0.126485i −0.956860 0.290550i \(-0.906162\pi\)
0.908890 + 0.417035i \(0.136931\pi\)
\(38\) 11.3815 + 2.80529i 1.84632 + 0.455078i
\(39\) −3.40673 + 1.18076i −0.545514 + 0.189072i
\(40\) −6.66186 + 1.64200i −1.05333 + 0.259623i
\(41\) −0.194028 + 1.59796i −0.0303021 + 0.249560i 0.969684 + 0.244361i \(0.0785781\pi\)
−0.999986 + 0.00519943i \(0.998345\pi\)
\(42\) −3.35637 + 1.76156i −0.517899 + 0.271814i
\(43\) −2.26140 5.96283i −0.344861 0.909323i −0.989461 0.144803i \(-0.953745\pi\)
0.644600 0.764520i \(-0.277024\pi\)
\(44\) 1.52074 + 0.374830i 0.229261 + 0.0565077i
\(45\) −2.27594 + 2.01631i −0.339277 + 0.300573i
\(46\) −0.269527 0.0664325i −0.0397396 0.00979494i
\(47\) −10.3941 + 5.45525i −1.51614 + 0.795730i −0.998216 0.0596998i \(-0.980986\pi\)
−0.517920 + 0.855429i \(0.673293\pi\)
\(48\) 4.28616 2.24955i 0.618653 0.324694i
\(49\) −0.177837 1.46462i −0.0254053 0.209231i
\(50\) −0.825258 6.79661i −0.116709 0.961186i
\(51\) 1.60100 1.41836i 0.224184 0.198610i
\(52\) −0.0624911 + 2.16522i −0.00866596 + 0.300262i
\(53\) 2.82893 + 2.50621i 0.388584 + 0.344255i 0.834685 0.550727i \(-0.185650\pi\)
−0.446102 + 0.894982i \(0.647188\pi\)
\(54\) 0.916113 1.32722i 0.124667 0.180612i
\(55\) 2.81099 7.41197i 0.379034 0.999429i
\(56\) −0.639307 5.26517i −0.0854310 0.703588i
\(57\) −0.876142 + 7.21568i −0.116048 + 0.955740i
\(58\) −13.3370 6.99981i −1.75124 0.919120i
\(59\) 5.32917 7.72064i 0.693799 1.00514i −0.304810 0.952413i \(-0.598593\pi\)
0.998609 0.0527283i \(-0.0167917\pi\)
\(60\) 0.647768 + 1.70802i 0.0836265 + 0.220505i
\(61\) −1.27106 + 1.12606i −0.162742 + 0.144177i −0.740564 0.671986i \(-0.765441\pi\)
0.577821 + 0.816163i \(0.303903\pi\)
\(62\) −8.01605 + 11.6132i −1.01804 + 1.47488i
\(63\) −1.33521 1.93438i −0.168221 0.243709i
\(64\) 0.526748 + 4.33816i 0.0658434 + 0.542270i
\(65\) 10.8405 + 1.63488i 1.34460 + 0.202782i
\(66\) −0.506783 + 4.17373i −0.0623806 + 0.513751i
\(67\) 0.803644 0.421785i 0.0981807 0.0515292i −0.414918 0.909859i \(-0.636190\pi\)
0.513099 + 0.858330i \(0.328497\pi\)
\(68\) −0.455668 1.20150i −0.0552579 0.145703i
\(69\) 0.0207480 0.170876i 0.00249777 0.0205710i
\(70\) 11.5257 1.37758
\(71\) −0.134159 + 1.10490i −0.0159218 + 0.131128i −0.998502 0.0547097i \(-0.982577\pi\)
0.982581 + 0.185837i \(0.0594997\pi\)
\(72\) 1.28185 + 1.85708i 0.151067 + 0.218859i
\(73\) −5.19641 + 1.28080i −0.608194 + 0.149906i −0.531372 0.847139i \(-0.678323\pi\)
−0.0768216 + 0.997045i \(0.524477\pi\)
\(74\) −0.753824 + 1.09210i −0.0876303 + 0.126954i
\(75\) 4.12204 1.01599i 0.475973 0.117317i
\(76\) 3.86664 + 2.02937i 0.443534 + 0.232785i
\(77\) 5.42587 + 2.84772i 0.618336 + 0.324528i
\(78\) −5.79006 + 0.534061i −0.655596 + 0.0604705i
\(79\) −14.6342 + 7.68063i −1.64648 + 0.864139i −0.652115 + 0.758120i \(0.726118\pi\)
−0.994364 + 0.106019i \(0.966190\pi\)
\(80\) −14.7185 −1.64558
\(81\) 0.885456 + 0.464723i 0.0983840 + 0.0516359i
\(82\) −0.920537 + 2.42726i −0.101656 + 0.268046i
\(83\) −1.69355 13.9476i −0.185891 1.53095i −0.725021 0.688727i \(-0.758170\pi\)
0.539130 0.842223i \(-0.318753\pi\)
\(84\) −1.37106 + 0.337936i −0.149595 + 0.0368718i
\(85\) −6.31464 + 1.55642i −0.684919 + 0.168817i
\(86\) −1.23966 10.2095i −0.133676 1.10092i
\(87\) 3.31196 8.73293i 0.355080 0.936268i
\(88\) −5.20904 2.73391i −0.555285 0.291436i
\(89\) −8.44011 −0.894650 −0.447325 0.894371i \(-0.647623\pi\)
−0.447325 + 0.894371i \(0.647623\pi\)
\(90\) −4.34192 + 2.27881i −0.457678 + 0.240208i
\(91\) −2.26466 + 8.16648i −0.237401 + 0.856080i
\(92\) −0.0915665 0.0480578i −0.00954647 0.00501037i
\(93\) −7.74779 4.06636i −0.803409 0.421661i
\(94\) −18.3808 + 4.53046i −1.89584 + 0.467282i
\(95\) 12.5550 18.1890i 1.28811 1.86616i
\(96\) 3.19769 0.788159i 0.326363 0.0804412i
\(97\) 7.13013 + 10.3298i 0.723955 + 1.04883i 0.996242 + 0.0866136i \(0.0276046\pi\)
−0.272287 + 0.962216i \(0.587780\pi\)
\(98\) 0.286796 2.36198i 0.0289708 0.238596i
\(99\) −2.60706 −0.262020
\(100\) 0.307433 2.53194i 0.0307433 0.253194i
\(101\) 2.39927 + 6.32635i 0.238736 + 0.629495i 0.999816 0.0191623i \(-0.00609993\pi\)
−0.761080 + 0.648658i \(0.775331\pi\)
\(102\) 3.05429 1.60302i 0.302420 0.158722i
\(103\) 1.41452 11.6496i 0.139377 1.14787i −0.740292 0.672285i \(-0.765313\pi\)
0.879669 0.475587i \(-0.157764\pi\)
\(104\) 2.17416 7.84012i 0.213194 0.768787i
\(105\) 0.861457 + 7.09474i 0.0840696 + 0.692375i
\(106\) 3.46237 + 5.01611i 0.336295 + 0.487208i
\(107\) 1.88464 2.73037i 0.182195 0.263955i −0.721235 0.692690i \(-0.756425\pi\)
0.903430 + 0.428736i \(0.141041\pi\)
\(108\) 0.449686 0.398387i 0.0432711 0.0383348i
\(109\) −1.74454 4.59998i −0.167097 0.440598i 0.825145 0.564921i \(-0.191093\pi\)
−0.992242 + 0.124323i \(0.960324\pi\)
\(110\) 7.26212 10.5210i 0.692416 1.00314i
\(111\) −0.728598 0.382398i −0.0691554 0.0362956i
\(112\) 1.37142 11.2947i 0.129587 1.06725i
\(113\) −0.943977 7.77435i −0.0888019 0.731350i −0.967306 0.253614i \(-0.918381\pi\)
0.878504 0.477736i \(-0.158542\pi\)
\(114\) −4.15673 + 10.9604i −0.389313 + 1.02653i
\(115\) −0.297316 + 0.430737i −0.0277249 + 0.0401665i
\(116\) −4.20001 3.72088i −0.389961 0.345475i
\(117\) −0.761511 3.52422i −0.0704017 0.325814i
\(118\) 11.3243 10.0325i 1.04249 0.923562i
\(119\) −0.605987 4.99075i −0.0555507 0.457501i
\(120\) −0.827030 6.81121i −0.0754972 0.621775i
\(121\) −3.72178 + 1.95334i −0.338343 + 0.177576i
\(122\) −2.42485 + 1.27266i −0.219536 + 0.115221i
\(123\) −1.56293 0.385227i −0.140924 0.0347347i
\(124\) −3.93478 + 3.48591i −0.353354 + 0.313044i
\(125\) 2.22776 + 0.549094i 0.199257 + 0.0491125i
\(126\) −1.34415 3.54423i −0.119746 0.315745i
\(127\) 9.86455 5.17731i 0.875337 0.459412i 0.0336850 0.999433i \(-0.489276\pi\)
0.841652 + 0.540020i \(0.181583\pi\)
\(128\) −1.64343 + 13.5349i −0.145260 + 1.19632i
\(129\) 6.19194 1.52618i 0.545170 0.134372i
\(130\) 16.3435 + 6.74377i 1.43342 + 0.591468i
\(131\) −15.7888 3.89159i −1.37947 0.340010i −0.521301 0.853373i \(-0.674553\pi\)
−0.858172 + 0.513363i \(0.828399\pi\)
\(132\) −0.555402 + 1.46448i −0.0483416 + 0.127466i
\(133\) 12.7881 + 11.3292i 1.10887 + 0.982369i
\(134\) 1.42115 0.350283i 0.122769 0.0302598i
\(135\) −1.72727 2.50239i −0.148660 0.215371i
\(136\) 0.581769 + 4.79130i 0.0498863 + 0.410851i
\(137\) 3.04175 + 8.02043i 0.259874 + 0.685231i 0.999920 + 0.0126747i \(0.00403460\pi\)
−0.740046 + 0.672557i \(0.765196\pi\)
\(138\) 0.0984360 0.259554i 0.00837943 0.0220947i
\(139\) 4.30859 + 6.24208i 0.365450 + 0.529446i 0.961971 0.273152i \(-0.0880661\pi\)
−0.596521 + 0.802598i \(0.703451\pi\)
\(140\) 4.16888 + 1.02754i 0.352335 + 0.0868427i
\(141\) −4.16260 10.9759i −0.350554 0.924336i
\(142\) −0.636499 + 1.67831i −0.0534138 + 0.140841i
\(143\) 6.02771 + 7.21282i 0.504062 + 0.603166i
\(144\) 1.71651 + 4.52606i 0.143042 + 0.377171i
\(145\) −21.2570 + 18.8321i −1.76530 + 1.56392i
\(146\) −8.63101 −0.714307
\(147\) 1.47538 0.121687
\(148\) −0.370025 + 0.327813i −0.0304158 + 0.0269461i
\(149\) −0.788318 + 0.413741i −0.0645815 + 0.0338950i −0.496705 0.867920i \(-0.665457\pi\)
0.432123 + 0.901815i \(0.357765\pi\)
\(150\) 6.84653 0.559017
\(151\) 16.7935 + 8.81391i 1.36664 + 0.717266i 0.978868 0.204492i \(-0.0655541\pi\)
0.387767 + 0.921757i \(0.373246\pi\)
\(152\) −12.2770 10.8765i −0.995797 0.882199i
\(153\) 1.21504 + 1.76029i 0.0982301 + 0.142311i
\(154\) 7.39694 + 6.55312i 0.596062 + 0.528065i
\(155\) 15.1137 + 21.8960i 1.21396 + 1.75873i
\(156\) −2.14190 0.323024i −0.171489 0.0258626i
\(157\) −8.73998 + 12.6621i −0.697527 + 1.01054i 0.300855 + 0.953670i \(0.402728\pi\)
−0.998381 + 0.0568719i \(0.981887\pi\)
\(158\) −25.8790 + 6.37860i −2.05882 + 0.507454i
\(159\) −2.82893 + 2.50621i −0.224349 + 0.198756i
\(160\) −9.72297 2.39650i −0.768669 0.189460i
\(161\) −0.302836 0.268289i −0.0238668 0.0211442i
\(162\) 1.20712 + 1.06941i 0.0948401 + 0.0840210i
\(163\) −5.40649 + 14.2558i −0.423469 + 1.11660i 0.538304 + 0.842751i \(0.319065\pi\)
−0.961774 + 0.273846i \(0.911704\pi\)
\(164\) −0.549357 + 0.795881i −0.0428976 + 0.0621479i
\(165\) 7.01910 + 3.68391i 0.546436 + 0.286792i
\(166\) 2.73117 22.4932i 0.211980 1.74581i
\(167\) 19.8097 + 4.88266i 1.53292 + 0.377832i 0.913373 0.407125i \(-0.133469\pi\)
0.619551 + 0.784956i \(0.287315\pi\)
\(168\) 5.30384 0.409200
\(169\) −7.98960 + 10.2551i −0.614584 + 0.788851i
\(170\) −10.4883 −0.804419
\(171\) −7.05746 1.73951i −0.539698 0.133024i
\(172\) 0.461811 3.80335i 0.0352127 0.290003i
\(173\) 4.37448 + 2.29590i 0.332585 + 0.174554i 0.622747 0.782423i \(-0.286017\pi\)
−0.290161 + 0.956978i \(0.593709\pi\)
\(174\) 8.55638 12.3961i 0.648657 0.939742i
\(175\) 3.53847 9.33018i 0.267483 0.705295i
\(176\) −9.44605 8.36847i −0.712023 0.630797i
\(177\) 7.02199 + 6.22094i 0.527805 + 0.467594i
\(178\) −13.2158 3.25740i −0.990565 0.244152i
\(179\) 19.5098 17.2842i 1.45823 1.29188i 0.579140 0.815228i \(-0.303388\pi\)
0.879092 0.476653i \(-0.158150\pi\)
\(180\) −1.77365 + 0.437165i −0.132200 + 0.0325844i
\(181\) 6.40043 9.27262i 0.475740 0.689228i −0.509488 0.860478i \(-0.670165\pi\)
0.985228 + 0.171250i \(0.0547805\pi\)
\(182\) −6.69787 + 11.9133i −0.496479 + 0.883072i
\(183\) −0.964640 1.39752i −0.0713082 0.103308i
\(184\) 0.290734 + 0.257567i 0.0214332 + 0.0189881i
\(185\) 1.42129 + 2.05909i 0.104495 + 0.151387i
\(186\) −10.5623 9.35742i −0.774469 0.686119i
\(187\) −4.93754 2.59142i −0.361069 0.189504i
\(188\) −7.05231 −0.514343
\(189\) 2.08122 1.09231i 0.151387 0.0794538i
\(190\) 26.6789 23.6354i 1.93549 1.71469i
\(191\) 0.150679 0.0109027 0.00545137 0.999985i \(-0.498265\pi\)
0.00545137 + 0.999985i \(0.498265\pi\)
\(192\) −4.37002 −0.315379
\(193\) 6.55412 5.80645i 0.471776 0.417957i −0.393445 0.919348i \(-0.628717\pi\)
0.865221 + 0.501391i \(0.167178\pi\)
\(194\) 7.17787 + 18.9265i 0.515341 + 1.35884i
\(195\) −2.92965 + 10.5644i −0.209796 + 0.756536i
\(196\) 0.314310 0.828769i 0.0224507 0.0591978i
\(197\) 7.58918 + 20.0110i 0.540707 + 1.42573i 0.875400 + 0.483400i \(0.160598\pi\)
−0.334693 + 0.942327i \(0.608632\pi\)
\(198\) −4.08221 1.00618i −0.290110 0.0715058i
\(199\) −5.21733 7.55861i −0.369847 0.535815i 0.593233 0.805030i \(-0.297851\pi\)
−0.963080 + 0.269215i \(0.913236\pi\)
\(200\) −3.39706 + 8.95731i −0.240208 + 0.633377i
\(201\) 0.321841 + 0.848625i 0.0227009 + 0.0598574i
\(202\) 1.31524 + 10.8320i 0.0925399 + 0.762135i
\(203\) −12.4707 18.0669i −0.875270 1.26805i
\(204\) 1.24766 0.307521i 0.0873539 0.0215308i
\(205\) 3.66359 + 3.24565i 0.255876 + 0.226686i
\(206\) 6.71098 17.6954i 0.467576 1.23290i
\(207\) 0.167129 + 0.0411935i 0.0116163 + 0.00286315i
\(208\) 8.55332 15.2135i 0.593066 1.05487i
\(209\) 18.3992 4.53500i 1.27270 0.313693i
\(210\) −1.38926 + 11.4416i −0.0958684 + 0.789547i
\(211\) −18.6768 + 9.80233i −1.28576 + 0.674820i −0.962447 0.271471i \(-0.912490\pi\)
−0.323316 + 0.946291i \(0.604798\pi\)
\(212\) 0.805157 + 2.12302i 0.0552984 + 0.145810i
\(213\) −1.08067 0.266362i −0.0740465 0.0182508i
\(214\) 4.00478 3.54793i 0.273761 0.242531i
\(215\) −18.8274 4.64053i −1.28402 0.316481i
\(216\) −1.99805 + 1.04866i −0.135950 + 0.0713521i
\(217\) −18.2108 + 9.55777i −1.23623 + 0.648824i
\(218\) −0.956329 7.87608i −0.0647708 0.533435i
\(219\) −0.645103 5.31290i −0.0435920 0.359013i
\(220\) 3.56471 3.15806i 0.240333 0.212916i
\(221\) 2.06084 7.43149i 0.138627 0.499896i
\(222\) −0.993277 0.879966i −0.0666644 0.0590595i
\(223\) 6.76130 9.79544i 0.452770 0.655951i −0.528422 0.848982i \(-0.677216\pi\)
0.981193 + 0.193031i \(0.0618316\pi\)
\(224\) 2.74498 7.23791i 0.183407 0.483604i
\(225\) 0.511727 + 4.21445i 0.0341152 + 0.280964i
\(226\) 1.52234 12.5376i 0.101265 0.833991i
\(227\) −0.711580 0.373466i −0.0472292 0.0247878i 0.440943 0.897535i \(-0.354644\pi\)
−0.488172 + 0.872747i \(0.662336\pi\)
\(228\) −2.48065 + 3.59384i −0.164285 + 0.238008i
\(229\) 3.97121 + 10.4712i 0.262425 + 0.691957i 0.999863 + 0.0165429i \(0.00526600\pi\)
−0.737438 + 0.675414i \(0.763965\pi\)
\(230\) −0.631787 + 0.559714i −0.0416588 + 0.0369065i
\(231\) −3.48097 + 5.04306i −0.229031 + 0.331809i
\(232\) 11.9723 + 17.3449i 0.786020 + 1.13875i
\(233\) 0.166713 + 1.37301i 0.0109218 + 0.0899488i 0.997150 0.0754385i \(-0.0240357\pi\)
−0.986229 + 0.165387i \(0.947113\pi\)
\(234\) 0.167748 5.81222i 0.0109661 0.379957i
\(235\) −4.30232 + 35.4328i −0.280652 + 2.31138i
\(236\) 4.99046 2.61919i 0.324851 0.170495i
\(237\) −5.86067 15.4533i −0.380692 1.00380i
\(238\) 0.977270 8.04854i 0.0633470 0.521709i
\(239\) −14.0497 −0.908802 −0.454401 0.890797i \(-0.650147\pi\)
−0.454401 + 0.890797i \(0.650147\pi\)
\(240\) 1.77412 14.6112i 0.114519 0.943149i
\(241\) −14.4124 20.8799i −0.928383 1.34500i −0.938585 0.345047i \(-0.887863\pi\)
0.0102020 0.999948i \(-0.496753\pi\)
\(242\) −6.58154 + 1.62221i −0.423078 + 0.104279i
\(243\) −0.568065 + 0.822984i −0.0364414 + 0.0527944i
\(244\) −0.990540 + 0.244146i −0.0634129 + 0.0156299i
\(245\) −3.97221 2.08478i −0.253775 0.133192i
\(246\) −2.29860 1.20640i −0.146553 0.0769172i
\(247\) 11.5047 + 23.5474i 0.732029 + 1.49828i
\(248\) 17.4830 9.17581i 1.11017 0.582664i
\(249\) 14.0501 0.890386
\(250\) 3.27638 + 1.71958i 0.207216 + 0.108756i
\(251\) 0.550645 1.45193i 0.0347564 0.0916451i −0.916515 0.400001i \(-0.869010\pi\)
0.951271 + 0.308356i \(0.0997789\pi\)
\(252\) −0.170209 1.40180i −0.0107222 0.0883049i
\(253\) −0.435715 + 0.107394i −0.0273932 + 0.00675181i
\(254\) 17.4443 4.29965i 1.09456 0.269784i
\(255\) −0.783926 6.45621i −0.0490913 0.404303i
\(256\) −4.69775 + 12.3869i −0.293609 + 0.774184i
\(257\) 8.18296 + 4.29475i 0.510439 + 0.267899i 0.700220 0.713927i \(-0.253085\pi\)
−0.189781 + 0.981827i \(0.560778\pi\)
\(258\) 10.2845 0.640287
\(259\) −1.71253 + 0.898807i −0.106412 + 0.0558492i
\(260\) 5.31028 + 3.89631i 0.329330 + 0.241639i
\(261\) 8.27004 + 4.34045i 0.511903 + 0.268667i
\(262\) −23.2206 12.1871i −1.43458 0.752923i
\(263\) 0.954373 0.235232i 0.0588492 0.0145050i −0.209781 0.977748i \(-0.567275\pi\)
0.268630 + 0.963243i \(0.413429\pi\)
\(264\) 3.34186 4.84152i 0.205677 0.297975i
\(265\) 11.1579 2.75016i 0.685421 0.168941i
\(266\) 15.6515 + 22.6751i 0.959655 + 1.39030i
\(267\) 1.01734 8.37857i 0.0622604 0.512760i
\(268\) 0.545266 0.0333074
\(269\) 0.160311 1.32028i 0.00977433 0.0804988i −0.987005 0.160687i \(-0.948629\pi\)
0.996780 + 0.0801882i \(0.0255521\pi\)
\(270\) −1.73884 4.58494i −0.105822 0.279030i
\(271\) −0.0386272 + 0.0202731i −0.00234644 + 0.00123151i −0.465896 0.884839i \(-0.654268\pi\)
0.463550 + 0.886071i \(0.346576\pi\)
\(272\) −1.24799 + 10.2782i −0.0756708 + 0.623205i
\(273\) −7.83396 3.23251i −0.474133 0.195640i
\(274\) 1.66743 + 13.7326i 0.100733 + 0.829614i
\(275\) −6.28736 9.10882i −0.379142 0.549282i
\(276\) 0.0587445 0.0851062i 0.00353601 0.00512279i
\(277\) 1.40050 1.24074i 0.0841482 0.0745488i −0.620000 0.784602i \(-0.712867\pi\)
0.704148 + 0.710053i \(0.251329\pi\)
\(278\) 4.33744 + 11.4369i 0.260143 + 0.685940i
\(279\) 4.97060 7.20116i 0.297582 0.431122i
\(280\) −14.2797 7.49459i −0.853378 0.447887i
\(281\) −2.70575 + 22.2838i −0.161411 + 1.32934i 0.656643 + 0.754201i \(0.271976\pi\)
−0.818055 + 0.575141i \(0.804947\pi\)
\(282\) −2.28187 18.7929i −0.135883 1.11910i
\(283\) 8.64587 22.7973i 0.513944 1.35516i −0.387344 0.921935i \(-0.626607\pi\)
0.901287 0.433222i \(-0.142623\pi\)
\(284\) −0.379849 + 0.550306i −0.0225399 + 0.0326547i
\(285\) 16.5431 + 14.6559i 0.979928 + 0.868140i
\(286\) 6.65463 + 13.6204i 0.393497 + 0.805391i
\(287\) −2.83201 + 2.50894i −0.167168 + 0.148098i
\(288\) 0.396974 + 3.26938i 0.0233919 + 0.192650i
\(289\) −1.49768 12.3345i −0.0880986 0.725557i
\(290\) −40.5529 + 21.2838i −2.38135 + 1.24983i
\(291\) −11.1139 + 5.83302i −0.651508 + 0.341938i
\(292\) −3.12187 0.769472i −0.182694 0.0450299i
\(293\) 8.79685 7.79333i 0.513917 0.455291i −0.365865 0.930668i \(-0.619227\pi\)
0.879782 + 0.475377i \(0.157688\pi\)
\(294\) 2.31019 + 0.569410i 0.134733 + 0.0332087i
\(295\) −10.1151 26.6713i −0.588923 1.55286i
\(296\) 1.64409 0.862888i 0.0955611 0.0501543i
\(297\) 0.314247 2.58805i 0.0182344 0.150174i
\(298\) −1.39405 + 0.343603i −0.0807553 + 0.0199044i
\(299\) −0.272445 0.557629i −0.0157559 0.0322485i
\(300\) 2.47642 + 0.610383i 0.142976 + 0.0352405i
\(301\) 5.31532 14.0153i 0.306370 0.807831i
\(302\) 22.8941 + 20.2824i 1.31741 + 1.16712i
\(303\) −6.56942 + 1.61922i −0.377404 + 0.0930216i
\(304\) −19.9873 28.9566i −1.14635 1.66077i
\(305\) 0.622371 + 5.12569i 0.0356369 + 0.293496i
\(306\) 1.22318 + 3.22525i 0.0699243 + 0.184375i
\(307\) 1.55950 4.11206i 0.0890053 0.234688i −0.883121 0.469145i \(-0.844562\pi\)
0.972126 + 0.234457i \(0.0753313\pi\)
\(308\) 2.09128 + 3.02974i 0.119162 + 0.172636i
\(309\) 11.3942 + 2.80842i 0.648193 + 0.159765i
\(310\) 15.2149 + 40.1185i 0.864150 + 2.27858i
\(311\) −2.50855 + 6.61451i −0.142247 + 0.375075i −0.987139 0.159862i \(-0.948895\pi\)
0.844892 + 0.534936i \(0.179664\pi\)
\(312\) 7.52089 + 3.10333i 0.425787 + 0.175691i
\(313\) 9.36396 + 24.6907i 0.529282 + 1.39560i 0.886999 + 0.461772i \(0.152786\pi\)
−0.357717 + 0.933830i \(0.616445\pi\)
\(314\) −18.5722 + 16.4535i −1.04809 + 0.928524i
\(315\) −7.14685 −0.402679
\(316\) −9.92920 −0.558561
\(317\) 15.1729 13.4420i 0.852195 0.754979i −0.119094 0.992883i \(-0.537999\pi\)
0.971289 + 0.237904i \(0.0764604\pi\)
\(318\) −5.39688 + 2.83250i −0.302642 + 0.158839i
\(319\) −24.3496 −1.36332
\(320\) 11.7656 + 6.17505i 0.657716 + 0.345196i
\(321\) 2.48329 + 2.20000i 0.138604 + 0.122792i
\(322\) −0.370645 0.536973i −0.0206553 0.0299243i
\(323\) −11.6371 10.3096i −0.647507 0.573641i
\(324\) 0.341279 + 0.494428i 0.0189599 + 0.0274682i
\(325\) 10.4768 11.1599i 0.581146 0.619039i
\(326\) −13.9675 + 20.2355i −0.773591 + 1.12074i
\(327\) 4.77672 1.17736i 0.264153 0.0651079i
\(328\) 2.71883 2.40868i 0.150122 0.132997i
\(329\) −26.7895 6.60302i −1.47695 0.364036i
\(330\) 9.56894 + 8.47734i 0.526753 + 0.466662i
\(331\) 2.40512 + 2.13075i 0.132197 + 0.117117i 0.726631 0.687028i \(-0.241085\pi\)
−0.594433 + 0.804145i \(0.702624\pi\)
\(332\) 2.99319 7.89240i 0.164273 0.433152i
\(333\) 0.467432 0.677193i 0.0256151 0.0371099i
\(334\) 29.1343 + 15.2908i 1.59416 + 0.836677i
\(335\) 0.332643 2.73956i 0.0181742 0.149678i
\(336\) 11.0470 + 2.72285i 0.602665 + 0.148544i
\(337\) −28.9924 −1.57932 −0.789658 0.613547i \(-0.789742\pi\)
−0.789658 + 0.613547i \(0.789742\pi\)
\(338\) −16.4682 + 12.9742i −0.895753 + 0.705701i
\(339\) 7.83145 0.425346
\(340\) −3.79368 0.935057i −0.205741 0.0507106i
\(341\) −2.74968 + 22.6456i −0.148903 + 1.22633i
\(342\) −10.3794 5.44755i −0.561256 0.294570i
\(343\) 11.3164 16.3946i 0.611028 0.885227i
\(344\) −5.10290 + 13.4552i −0.275130 + 0.725458i
\(345\) −0.391759 0.347068i −0.0210916 0.0186855i
\(346\) 5.96360 + 5.28329i 0.320605 + 0.284031i
\(347\) 33.7674 + 8.32291i 1.81273 + 0.446797i 0.992184 0.124787i \(-0.0398249\pi\)
0.820543 + 0.571584i \(0.193671\pi\)
\(348\) 4.20001 3.72088i 0.225144 0.199460i
\(349\) 23.0483 5.68090i 1.23375 0.304092i 0.432066 0.901842i \(-0.357785\pi\)
0.801682 + 0.597750i \(0.203939\pi\)
\(350\) 9.14155 13.2438i 0.488637 0.707912i
\(351\) 3.59031 0.331161i 0.191637 0.0176761i
\(352\) −4.87744 7.06619i −0.259968 0.376629i
\(353\) −1.98896 1.76207i −0.105862 0.0937855i 0.608532 0.793530i \(-0.291759\pi\)
−0.714394 + 0.699744i \(0.753297\pi\)
\(354\) 8.59431 + 12.4510i 0.456783 + 0.661764i
\(355\) 2.53316 + 2.24418i 0.134446 + 0.119109i
\(356\) −4.48980 2.35643i −0.237959 0.124890i
\(357\) 5.02741 0.266079
\(358\) 37.2197 19.5344i 1.96712 1.03243i
\(359\) 1.93032 1.71011i 0.101878 0.0902562i −0.610646 0.791904i \(-0.709090\pi\)
0.712524 + 0.701647i \(0.247552\pi\)
\(360\) 6.86123 0.361619
\(361\) 33.8337 1.78072
\(362\) 13.6007 12.0491i 0.714836 0.633289i
\(363\) −1.49049 3.93009i −0.0782302 0.206276i
\(364\) −3.48474 + 3.71196i −0.182650 + 0.194559i
\(365\) −5.77056 + 15.2157i −0.302045 + 0.796427i
\(366\) −0.971099 2.56058i −0.0507602 0.133844i
\(367\) −7.83278 1.93061i −0.408868 0.100777i 0.0295170 0.999564i \(-0.490603\pi\)
−0.438385 + 0.898787i \(0.644449\pi\)
\(368\) 0.473322 + 0.685725i 0.0246736 + 0.0357459i
\(369\) 0.570808 1.50510i 0.0297151 0.0783522i
\(370\) 1.43080 + 3.77272i 0.0743839 + 0.196134i
\(371\) 1.07077 + 8.81856i 0.0555914 + 0.457837i
\(372\) −2.98621 4.32627i −0.154828 0.224307i
\(373\) −5.00390 + 1.23335i −0.259092 + 0.0638605i −0.366722 0.930331i \(-0.619520\pi\)
0.107630 + 0.994191i \(0.465674\pi\)
\(374\) −6.73121 5.96333i −0.348063 0.308357i
\(375\) −0.813618 + 2.14533i −0.0420150 + 0.110785i
\(376\) 25.7189 + 6.33914i 1.32635 + 0.326916i
\(377\) −7.11241 32.9157i −0.366308 1.69525i
\(378\) 3.68041 0.907139i 0.189300 0.0466582i
\(379\) 3.87422 31.9070i 0.199005 1.63895i −0.460790 0.887509i \(-0.652434\pi\)
0.659795 0.751445i \(-0.270643\pi\)
\(380\) 11.7570 6.17056i 0.603122 0.316543i
\(381\) 3.95053 + 10.4167i 0.202392 + 0.533663i
\(382\) 0.235938 + 0.0581534i 0.0120716 + 0.00297539i
\(383\) 21.1519 18.7389i 1.08081 0.957515i 0.0815782 0.996667i \(-0.474004\pi\)
0.999233 + 0.0391516i \(0.0124655\pi\)
\(384\) −13.2381 3.26289i −0.675553 0.166509i
\(385\) 16.4981 8.65885i 0.840819 0.441296i
\(386\) 12.5036 6.56239i 0.636416 0.334017i
\(387\) 0.768692 + 6.33075i 0.0390748 + 0.321810i
\(388\) 0.908930 + 7.48571i 0.0461439 + 0.380029i
\(389\) −24.0360 + 21.2941i −1.21868 + 1.07965i −0.224215 + 0.974540i \(0.571982\pi\)
−0.994460 + 0.105113i \(0.966480\pi\)
\(390\) −8.66459 + 15.4114i −0.438749 + 0.780389i
\(391\) 0.275581 + 0.244143i 0.0139367 + 0.0123468i
\(392\) −1.89121 + 2.73989i −0.0955205 + 0.138385i
\(393\) 5.76634 15.2046i 0.290873 0.766970i
\(394\) 4.16026 + 34.2629i 0.209591 + 1.72614i
\(395\) −6.05738 + 49.8870i −0.304780 + 2.51009i
\(396\) −1.38685 0.727876i −0.0696919 0.0365771i
\(397\) 19.6198 28.4241i 0.984688 1.42657i 0.0818208 0.996647i \(-0.473926\pi\)
0.902867 0.429920i \(-0.141458\pi\)
\(398\) −5.25226 13.8491i −0.263272 0.694192i
\(399\) −12.7881 + 11.3292i −0.640204 + 0.567171i
\(400\) −11.6740 + 16.9126i −0.583698 + 0.845632i
\(401\) −17.8762 25.8981i −0.892695 1.29329i −0.955417 0.295261i \(-0.904593\pi\)
0.0627219 0.998031i \(-0.480022\pi\)
\(402\) 0.176428 + 1.45301i 0.00879942 + 0.0724698i
\(403\) −31.4154 + 2.89768i −1.56491 + 0.144344i
\(404\) −0.489965 + 4.03522i −0.0243767 + 0.200760i
\(405\) 2.69234 1.41305i 0.133783 0.0702150i
\(406\) −12.5542 33.1026i −0.623053 1.64286i
\(407\) −0.258578 + 2.12958i −0.0128172 + 0.105559i
\(408\) −4.82649 −0.238947
\(409\) 1.79118 14.7517i 0.0885679 0.729422i −0.879002 0.476818i \(-0.841790\pi\)
0.967570 0.252604i \(-0.0812870\pi\)
\(410\) 4.48392 + 6.49608i 0.221445 + 0.320818i
\(411\) −8.32859 + 2.05281i −0.410819 + 0.101258i
\(412\) 4.00497 5.80221i 0.197311 0.285854i
\(413\) 21.4095 5.27697i 1.05349 0.259663i
\(414\) 0.245797 + 0.129004i 0.0120803 + 0.00634021i
\(415\) −37.8275 19.8534i −1.85688 0.974566i
\(416\) 8.12738 8.65731i 0.398477 0.424460i
\(417\) −6.71591 + 3.52478i −0.328879 + 0.172609i
\(418\) 30.5603 1.49475
\(419\) −26.3397 13.8241i −1.28678 0.675353i −0.324105 0.946021i \(-0.605063\pi\)
−0.962673 + 0.270668i \(0.912756\pi\)
\(420\) −1.52255 + 4.01463i −0.0742927 + 0.195894i
\(421\) −3.81663 31.4328i −0.186011 1.53194i −0.724482 0.689294i \(-0.757921\pi\)
0.538471 0.842644i \(-0.319002\pi\)
\(422\) −33.0278 + 8.14062i −1.60777 + 0.396279i
\(423\) 11.3976 2.80926i 0.554170 0.136591i
\(424\) −1.02798 8.46614i −0.0499229 0.411152i
\(425\) −3.22001 + 8.49046i −0.156193 + 0.411848i
\(426\) −1.58935 0.834156i −0.0770043 0.0404150i
\(427\) −3.99134 −0.193155
\(428\) 1.76485 0.926266i 0.0853073 0.0447727i
\(429\) −7.88679 + 5.11435i −0.380778 + 0.246923i
\(430\) −27.6895 14.5326i −1.33530 0.700822i
\(431\) 19.4789 + 10.2233i 0.938264 + 0.492439i 0.863269 0.504745i \(-0.168413\pi\)
0.0749958 + 0.997184i \(0.476106\pi\)
\(432\) −4.69996 + 1.15844i −0.226127 + 0.0557353i
\(433\) 6.14929 8.90878i 0.295516 0.428129i −0.646898 0.762576i \(-0.723934\pi\)
0.942414 + 0.334447i \(0.108550\pi\)
\(434\) −32.2038 + 7.93752i −1.54583 + 0.381013i
\(435\) −16.1325 23.3720i −0.773494 1.12060i
\(436\) 0.356260 2.93407i 0.0170618 0.140516i
\(437\) −1.25116 −0.0598512
\(438\) 1.04035 8.56808i 0.0497100 0.409398i
\(439\) −6.97031 18.3792i −0.332675 0.877191i −0.992103 0.125424i \(-0.959971\pi\)
0.659429 0.751767i \(-0.270798\pi\)
\(440\) −15.8387 + 8.31281i −0.755082 + 0.396297i
\(441\) −0.177837 + 1.46462i −0.00846842 + 0.0697437i
\(442\) 6.09506 10.8411i 0.289912 0.515658i
\(443\) −0.542889 4.47109i −0.0257934 0.212428i 0.974114 0.226059i \(-0.0725841\pi\)
−0.999907 + 0.0136307i \(0.995661\pi\)
\(444\) −0.280821 0.406840i −0.0133272 0.0193078i
\(445\) −14.5784 + 21.1204i −0.691081 + 1.00120i
\(446\) 14.3675 12.7285i 0.680322 0.602713i
\(447\) −0.315703 0.832441i −0.0149323 0.0393731i
\(448\) −5.83489 + 8.45329i −0.275673 + 0.399381i
\(449\) 8.78218 + 4.60924i 0.414457 + 0.217524i 0.659045 0.752103i \(-0.270961\pi\)
−0.244589 + 0.969627i \(0.578653\pi\)
\(450\) −0.825258 + 6.79661i −0.0389031 + 0.320395i
\(451\) 0.505843 + 4.16599i 0.0238192 + 0.196169i
\(452\) 1.66839 4.39919i 0.0784747 0.206921i
\(453\) −10.7739 + 15.6087i −0.506201 + 0.733359i
\(454\) −0.970077 0.859413i −0.0455280 0.0403343i
\(455\) 16.5240 + 19.7728i 0.774657 + 0.926963i
\(456\) 12.2770 10.8765i 0.574923 0.509338i
\(457\) −0.532209 4.38313i −0.0248957 0.205034i 0.974953 0.222409i \(-0.0713922\pi\)
−0.999849 + 0.0173750i \(0.994469\pi\)
\(458\) 2.17695 + 17.9288i 0.101722 + 0.837758i
\(459\) −1.89391 + 0.994001i −0.0884002 + 0.0463960i
\(460\) −0.278420 + 0.146126i −0.0129814 + 0.00681315i
\(461\) −4.72103 1.16363i −0.219880 0.0541957i 0.127836 0.991795i \(-0.459197\pi\)
−0.347717 + 0.937600i \(0.613043\pi\)
\(462\) −7.39694 + 6.55312i −0.344137 + 0.304879i
\(463\) 8.84902 + 2.18109i 0.411249 + 0.101364i 0.439512 0.898237i \(-0.355151\pi\)
−0.0282631 + 0.999601i \(0.508998\pi\)
\(464\) 16.0320 + 42.2728i 0.744265 + 1.96246i
\(465\) −23.5581 + 12.3643i −1.09248 + 0.573379i
\(466\) −0.268857 + 2.21424i −0.0124546 + 0.102573i
\(467\) 1.06091 0.261490i 0.0490928 0.0121003i −0.214693 0.976682i \(-0.568875\pi\)
0.263786 + 0.964581i \(0.415029\pi\)
\(468\) 0.578847 2.08735i 0.0267572 0.0964878i
\(469\) 2.07129 + 0.510528i 0.0956434 + 0.0235740i
\(470\) −20.4117 + 53.8212i −0.941522 + 2.48259i
\(471\) −11.5162 10.2025i −0.530641 0.470106i
\(472\) −20.5539 + 5.06608i −0.946070 + 0.233185i
\(473\) −9.44457 13.6828i −0.434262 0.629137i
\(474\) −3.21272 26.4592i −0.147565 1.21531i
\(475\) −10.9426 28.8532i −0.502080 1.32388i
\(476\) 1.07103 2.82407i 0.0490904 0.129441i
\(477\) −2.14695 3.11040i −0.0983021 0.142415i
\(478\) −21.9995 5.42239i −1.00623 0.248014i
\(479\) 2.26804 + 5.98032i 0.103629 + 0.273248i 0.976795 0.214175i \(-0.0687063\pi\)
−0.873166 + 0.487423i \(0.837937\pi\)
\(480\) 3.55100 9.36322i 0.162080 0.427370i
\(481\) −2.95429 + 0.272496i −0.134704 + 0.0124247i
\(482\) −14.5089 38.2568i −0.660862 1.74255i
\(483\) 0.302836 0.268289i 0.0137795 0.0122076i
\(484\) −2.52519 −0.114782
\(485\) 38.1648 1.73297
\(486\) −1.20712 + 1.06941i −0.0547559 + 0.0485095i
\(487\) −18.6462 + 9.78627i −0.844939 + 0.443458i −0.830886 0.556443i \(-0.812166\pi\)
−0.0140534 + 0.999901i \(0.504473\pi\)
\(488\) 3.83183 0.173459
\(489\) −13.5001 7.08541i −0.610497 0.320414i
\(490\) −5.41521 4.79745i −0.244634 0.216727i
\(491\) −4.73531 6.86028i −0.213702 0.309600i 0.701443 0.712725i \(-0.252539\pi\)
−0.915145 + 0.403125i \(0.867924\pi\)
\(492\) −0.723861 0.641285i −0.0326342 0.0289113i
\(493\) 11.3483 + 16.4409i 0.511102 + 0.740459i
\(494\) 8.92653 + 41.3113i 0.401624 + 1.85869i
\(495\) −4.50311 + 6.52387i −0.202400 + 0.293226i
\(496\) 41.1249 10.1364i 1.84656 0.455137i
\(497\) −1.95817 + 1.73479i −0.0878360 + 0.0778159i
\(498\) 22.0000 + 5.42251i 0.985844 + 0.242989i
\(499\) 25.8883 + 22.9350i 1.15892 + 1.02671i 0.999218 + 0.0395468i \(0.0125914\pi\)
0.159701 + 0.987165i \(0.448947\pi\)
\(500\) 1.03178 + 0.914073i 0.0461424 + 0.0408786i
\(501\) −7.23486 + 19.0768i −0.323230 + 0.852287i
\(502\) 1.42258 2.06096i 0.0634927 0.0919851i
\(503\) 0.229213 + 0.120300i 0.0102201 + 0.00536393i 0.469825 0.882759i \(-0.344317\pi\)
−0.459605 + 0.888123i \(0.652009\pi\)
\(504\) −0.639307 + 5.26517i −0.0284770 + 0.234529i
\(505\) 19.9752 + 4.92344i 0.888883 + 0.219090i
\(506\) −0.723703 −0.0321725
\(507\) −9.21725 9.16746i −0.409353 0.407141i
\(508\) 6.69301 0.296954
\(509\) −29.6690 7.31276i −1.31506 0.324132i −0.481441 0.876478i \(-0.659886\pi\)
−0.833615 + 0.552346i \(0.813733\pi\)
\(510\) 1.26423 10.4119i 0.0559811 0.461045i
\(511\) −11.1385 5.84596i −0.492740 0.258610i
\(512\) 3.35378 4.85878i 0.148217 0.214730i
\(513\) 2.57751 6.79633i 0.113800 0.300065i
\(514\) 11.1556 + 9.88300i 0.492052 + 0.435920i
\(515\) −26.7086 23.6618i −1.17692 1.04266i
\(516\) 3.71996 + 0.916887i 0.163762 + 0.0403637i
\(517\) −22.9071 + 20.2939i −1.00745 + 0.892524i
\(518\) −3.02842 + 0.746440i −0.133061 + 0.0327967i
\(519\) −2.80645 + 4.06584i −0.123189 + 0.178471i
\(520\) −15.8636 18.9826i −0.695667 0.832442i
\(521\) −17.8338 25.8367i −0.781312 1.13193i −0.988141 0.153549i \(-0.950930\pi\)
0.206829 0.978377i \(-0.433686\pi\)
\(522\) 11.2743 + 9.98817i 0.493463 + 0.437170i
\(523\) 17.8364 + 25.8405i 0.779931 + 1.12992i 0.988397 + 0.151895i \(0.0485376\pi\)
−0.208466 + 0.978030i \(0.566847\pi\)
\(524\) −7.31249 6.47830i −0.319448 0.283006i
\(525\) 8.83563 + 4.63730i 0.385619 + 0.202388i
\(526\) 1.58517 0.0691168
\(527\) 16.5718 8.69757i 0.721880 0.378872i
\(528\) 9.44605 8.36847i 0.411087 0.364191i
\(529\) −22.9704 −0.998712
\(530\) 18.5327 0.805009
\(531\) −7.02199 + 6.22094i −0.304728 + 0.269966i
\(532\) 3.63968 + 9.59704i 0.157800 + 0.416085i
\(533\) −5.48382 + 1.90066i −0.237531 + 0.0823269i
\(534\) 4.82663 12.7268i 0.208869 0.550742i
\(535\) −3.57715 9.43218i −0.154654 0.407788i
\(536\) −1.98852 0.490125i −0.0858908 0.0211702i
\(537\) 14.8065 + 21.4509i 0.638948 + 0.925677i
\(538\) 0.760571 2.00546i 0.0327905 0.0864616i
\(539\) −1.36395 3.59644i −0.0587495 0.154910i
\(540\) −0.220188 1.81341i −0.00947539 0.0780368i
\(541\) 9.76302 + 14.1442i 0.419745 + 0.608105i 0.974630 0.223821i \(-0.0718532\pi\)
−0.554885 + 0.831927i \(0.687238\pi\)
\(542\) −0.0683080 + 0.0168364i −0.00293408 + 0.000723185i
\(543\) 8.43352 + 7.47145i 0.361917 + 0.320631i
\(544\) −2.49793 + 6.58650i −0.107098 + 0.282394i
\(545\) −14.5242 3.57990i −0.622149 0.153346i
\(546\) −11.0191 8.08502i −0.471574 0.346007i
\(547\) 3.87193 0.954346i 0.165552 0.0408049i −0.155668 0.987809i \(-0.549753\pi\)
0.321220 + 0.947004i \(0.395907\pi\)
\(548\) −0.621168 + 5.11578i −0.0265350 + 0.218535i
\(549\) 1.50361 0.789154i 0.0641724 0.0336803i
\(550\) −6.32946 16.6894i −0.269889 0.711639i
\(551\) −65.9158 16.2468i −2.80811 0.692136i
\(552\) −0.290734 + 0.257567i −0.0123744 + 0.0109628i
\(553\) −37.7179 9.29662i −1.60393 0.395333i
\(554\) 2.67181 1.40227i 0.113514 0.0595768i
\(555\) −2.21539 + 1.16273i −0.0940382 + 0.0493551i
\(556\) 0.549248 + 4.52347i 0.0232933 + 0.191838i
\(557\) 2.73060 + 22.4885i 0.115699 + 0.952868i 0.928758 + 0.370687i \(0.120878\pi\)
−0.813059 + 0.582182i \(0.802199\pi\)
\(558\) 10.5623 9.35742i 0.447140 0.396131i
\(559\) 15.7377 16.7638i 0.665633 0.709035i
\(560\) −25.8948 22.9408i −1.09426 0.969427i
\(561\) 3.16768 4.58918i 0.133740 0.193755i
\(562\) −12.8370 + 33.8484i −0.541497 + 1.42781i
\(563\) −1.29463 10.6623i −0.0545623 0.449361i −0.994230 0.107272i \(-0.965789\pi\)
0.939667 0.342089i \(-0.111135\pi\)
\(564\) 0.850063 7.00089i 0.0357941 0.294791i
\(565\) −21.0849 11.0662i −0.887050 0.465560i
\(566\) 22.3364 32.3599i 0.938869 1.36019i
\(567\) 0.833482 + 2.19771i 0.0350029 + 0.0922952i
\(568\) 1.87992 1.66546i 0.0788795 0.0698812i
\(569\) −14.8512 + 21.5157i −0.622596 + 0.901986i −0.999708 0.0241817i \(-0.992302\pi\)
0.377112 + 0.926168i \(0.376917\pi\)
\(570\) 20.2473 + 29.3333i 0.848067 + 1.22864i
\(571\) 2.51767 + 20.7349i 0.105361 + 0.867727i 0.945560 + 0.325449i \(0.105515\pi\)
−0.840199 + 0.542279i \(0.817562\pi\)
\(572\) 1.19272 + 5.51983i 0.0498702 + 0.230796i
\(573\) −0.0181623 + 0.149580i −0.000758743 + 0.00624881i
\(574\) −5.40275 + 2.83558i −0.225507 + 0.118355i
\(575\) 0.259133 + 0.683277i 0.0108066 + 0.0284946i
\(576\) 0.526748 4.33816i 0.0219478 0.180757i
\(577\) −22.1643 −0.922712 −0.461356 0.887215i \(-0.652637\pi\)
−0.461356 + 0.887215i \(0.652637\pi\)
\(578\) 2.41529 19.8917i 0.100463 0.827386i
\(579\) 4.97410 + 7.20623i 0.206717 + 0.299481i
\(580\) −16.5657 + 4.08307i −0.687851 + 0.169540i
\(581\) 18.7598 27.1782i 0.778286 1.12754i
\(582\) −19.6537 + 4.84420i −0.814672 + 0.200799i
\(583\) 8.72454 + 4.57899i 0.361334 + 0.189642i
\(584\) 10.6934 + 5.61233i 0.442496 + 0.232240i
\(585\) −10.1343 4.18169i −0.419001 0.172892i
\(586\) 16.7821 8.80795i 0.693264 0.363853i
\(587\) −8.06250 −0.332775 −0.166388 0.986060i \(-0.553210\pi\)
−0.166388 + 0.986060i \(0.553210\pi\)
\(588\) 0.784840 + 0.411916i 0.0323663 + 0.0169871i
\(589\) −22.5533 + 59.4683i −0.929295 + 2.45035i
\(590\) −5.54492 45.6665i −0.228281 1.88006i
\(591\) −20.7799 + 5.12179i −0.854771 + 0.210682i
\(592\) 3.86736 0.953219i 0.158948 0.0391771i
\(593\) −0.366718 3.02019i −0.0150593 0.124024i 0.983240 0.182313i \(-0.0583586\pi\)
−0.998300 + 0.0582891i \(0.981435\pi\)
\(594\) 1.49090 3.93117i 0.0611722 0.161298i
\(595\) −13.5355 7.10397i −0.554901 0.291235i
\(596\) −0.534867 −0.0219090
\(597\) 8.13237 4.26820i 0.332836 0.174686i
\(598\) −0.211390 0.978300i −0.00864440 0.0400057i
\(599\) 40.3307 + 21.1672i 1.64787 + 0.864868i 0.994135 + 0.108144i \(0.0344907\pi\)
0.653734 + 0.756725i \(0.273202\pi\)
\(600\) −8.48253 4.45198i −0.346298 0.181751i
\(601\) 17.9483 4.42386i 0.732127 0.180453i 0.144408 0.989518i \(-0.453872\pi\)
0.587719 + 0.809065i \(0.300026\pi\)
\(602\) 13.7320 19.8942i 0.559675 0.810829i
\(603\) −0.881231 + 0.217204i −0.0358865 + 0.00884523i
\(604\) 6.47267 + 9.37728i 0.263369 + 0.381556i
\(605\) −1.54051 + 12.6873i −0.0626308 + 0.515811i
\(606\) −10.9115 −0.443250
\(607\) 2.85341 23.5000i 0.115816 0.953834i −0.812736 0.582632i \(-0.802023\pi\)
0.928552 0.371202i \(-0.121054\pi\)
\(608\) −8.48873 22.3830i −0.344264 0.907749i
\(609\) 19.4383 10.2020i 0.787681 0.413407i
\(610\) −1.00369 + 8.26616i −0.0406384 + 0.334687i
\(611\) −34.1243 25.0379i −1.38052 1.01293i
\(612\) 0.154890 + 1.27563i 0.00626106 + 0.0515644i
\(613\) −6.48058 9.38874i −0.261748 0.379208i 0.669971 0.742387i \(-0.266307\pi\)
−0.931719 + 0.363180i \(0.881691\pi\)
\(614\) 4.02893 5.83691i 0.162594 0.235559i
\(615\) −3.66359 + 3.24565i −0.147730 + 0.130877i
\(616\) −4.90328 12.9289i −0.197559 0.520919i
\(617\) 19.9550 28.9098i 0.803359 1.16387i −0.180262 0.983619i \(-0.557695\pi\)
0.983621 0.180248i \(-0.0576900\pi\)
\(618\) 16.7575 + 8.79500i 0.674084 + 0.353787i
\(619\) −4.80465 + 39.5698i −0.193115 + 1.59045i 0.497657 + 0.867374i \(0.334194\pi\)
−0.690772 + 0.723072i \(0.742729\pi\)
\(620\) 1.92666 + 15.8675i 0.0773765 + 0.637253i
\(621\) −0.0610383 + 0.160945i −0.00244938 + 0.00645850i
\(622\) −6.48079 + 9.38904i −0.259856 + 0.376466i
\(623\) −14.8490 13.1551i −0.594913 0.527047i
\(624\) 14.0716 + 10.3247i 0.563315 + 0.413321i
\(625\) 21.1107 18.7024i 0.844427 0.748097i
\(626\) 5.13316 + 42.2754i 0.205163 + 1.68967i
\(627\) 2.28416 + 18.8117i 0.0912204 + 0.751268i
\(628\) −8.18449 + 4.29555i −0.326597 + 0.171411i
\(629\) 1.55841 0.817914i 0.0621377 0.0326124i
\(630\) −11.1907 2.75827i −0.445850 0.109892i
\(631\) −3.38655 + 3.00022i −0.134816 + 0.119437i −0.727836 0.685751i \(-0.759474\pi\)
0.593020 + 0.805188i \(0.297935\pi\)
\(632\) 36.2105 + 8.92510i 1.44038 + 0.355021i
\(633\) −7.47963 19.7222i −0.297288 0.783885i
\(634\) 28.9460 15.1920i 1.14959 0.603353i
\(635\) 4.08312 33.6275i 0.162034 1.33447i
\(636\) −2.20460 + 0.543384i −0.0874179 + 0.0215466i
\(637\) 4.46325 2.89429i 0.176841 0.114676i
\(638\) −38.1273 9.39755i −1.50948 0.372052i
\(639\) 0.394681 1.04069i 0.0156133 0.0411690i
\(640\) 31.0308 + 27.4909i 1.22660 + 1.08667i
\(641\) −26.5456 + 6.54291i −1.04849 + 0.258429i −0.725678 0.688034i \(-0.758474\pi\)
−0.322811 + 0.946463i \(0.604628\pi\)
\(642\) 3.03934 + 4.40324i 0.119953 + 0.173782i
\(643\) −4.47147 36.8258i −0.176337 1.45227i −0.765073 0.643943i \(-0.777297\pi\)
0.588736 0.808326i \(-0.299626\pi\)
\(644\) −0.0861918 0.227269i −0.00339643 0.00895565i
\(645\) 6.87608 18.1307i 0.270745 0.713897i
\(646\) −14.2429 20.6343i −0.560378 0.811847i
\(647\) 32.2383 + 7.94602i 1.26742 + 0.312390i 0.815024 0.579428i \(-0.196724\pi\)
0.452394 + 0.891818i \(0.350570\pi\)
\(648\) −0.800173 2.10988i −0.0314338 0.0828840i
\(649\) 8.67277 22.8682i 0.340436 0.897656i
\(650\) 20.7119 13.4310i 0.812387 0.526809i
\(651\) −7.29301 19.2301i −0.285836 0.753687i
\(652\) −6.85615 + 6.07402i −0.268508 + 0.237877i
\(653\) −36.0232 −1.40970 −0.704848 0.709358i \(-0.748985\pi\)
−0.704848 + 0.709358i \(0.748985\pi\)
\(654\) 7.93392 0.310241
\(655\) −37.0098 + 32.7878i −1.44609 + 1.28113i
\(656\) 6.89943 3.62110i 0.269378 0.141380i
\(657\) 5.35193 0.208798
\(658\) −39.3994 20.6784i −1.53595 0.806128i
\(659\) −3.53652 3.13308i −0.137763 0.122048i 0.591427 0.806358i \(-0.298565\pi\)
−0.729190 + 0.684311i \(0.760103\pi\)
\(660\) 2.70535 + 3.91938i 0.105306 + 0.152562i
\(661\) 2.48743 + 2.20367i 0.0967497 + 0.0857128i 0.710111 0.704090i \(-0.248645\pi\)
−0.613361 + 0.789802i \(0.710183\pi\)
\(662\) 2.94366 + 4.26463i 0.114409 + 0.165750i
\(663\) 7.12890 + 2.94158i 0.276864 + 0.114242i
\(664\) −18.0101 + 26.0921i −0.698926 + 1.01257i
\(665\) 50.4386 12.4320i 1.95592 0.482092i
\(666\) 0.993277 0.879966i 0.0384887 0.0340980i
\(667\) 1.56096 + 0.384742i 0.0604406 + 0.0148973i
\(668\) 9.17477 + 8.12814i 0.354983 + 0.314487i
\(669\) 8.90903 + 7.89272i 0.344443 + 0.305150i
\(670\) 1.57818 4.16131i 0.0609703 0.160765i
\(671\) −2.51488 + 3.64343i −0.0970857 + 0.140653i
\(672\) 6.85427 + 3.59740i 0.264409 + 0.138773i
\(673\) −4.55676 + 37.5283i −0.175650 + 1.44661i 0.592101 + 0.805864i \(0.298299\pi\)
−0.767752 + 0.640747i \(0.778625\pi\)
\(674\) −45.3972 11.1894i −1.74863 0.430999i
\(675\) −4.24541 −0.163406
\(676\) −7.11329 + 3.22463i −0.273588 + 0.124024i
\(677\) −19.7523 −0.759142 −0.379571 0.925163i \(-0.623928\pi\)
−0.379571 + 0.925163i \(0.623928\pi\)
\(678\) 12.2627 + 3.02249i 0.470947 + 0.116078i
\(679\) −3.55607 + 29.2869i −0.136469 + 1.12393i
\(680\) 12.9946 + 6.82007i 0.498319 + 0.261538i
\(681\) 0.456515 0.661376i 0.0174937 0.0253440i
\(682\) −13.0454 + 34.3980i −0.499535 + 1.31717i
\(683\) 9.97400 + 8.83619i 0.381645 + 0.338108i 0.832034 0.554725i \(-0.187176\pi\)
−0.450389 + 0.892832i \(0.648715\pi\)
\(684\) −3.26862 2.89575i −0.124979 0.110722i
\(685\) 25.3241 + 6.24184i 0.967585 + 0.238488i
\(686\) 24.0469 21.3037i 0.918116 0.813380i
\(687\) −10.8735 + 2.68009i −0.414852 + 0.102252i
\(688\) −17.5361 + 25.4054i −0.668556 + 0.968571i
\(689\) −3.64147 + 13.1313i −0.138729 + 0.500263i
\(690\) −0.479480 0.694646i −0.0182535 0.0264447i
\(691\) 28.2065 + 24.9888i 1.07302 + 0.950617i 0.998912 0.0466328i \(-0.0148491\pi\)
0.0741128 + 0.997250i \(0.476388\pi\)
\(692\) 1.68604 + 2.44266i 0.0640937 + 0.0928558i
\(693\) −4.58670 4.06346i −0.174234 0.154358i
\(694\) 49.6618 + 26.0645i 1.88514 + 0.989395i
\(695\) 23.0622 0.874799
\(696\) −18.6615 + 9.79432i −0.707363 + 0.371253i
\(697\) 2.57713 2.28314i 0.0976157 0.0864799i
\(698\) 38.2822 1.44900
\(699\) −1.38309 −0.0523134
\(700\) 4.48725 3.97536i 0.169602 0.150254i
\(701\) 1.82304 + 4.80695i 0.0688551 + 0.181556i 0.965027 0.262152i \(-0.0844321\pi\)
−0.896172 + 0.443708i \(0.853663\pi\)
\(702\) 5.74963 + 0.867111i 0.217006 + 0.0327270i
\(703\) −2.12090 + 5.59236i −0.0799914 + 0.210920i
\(704\) 4.03998 + 10.6526i 0.152262 + 0.401483i
\(705\) −34.6558 8.54189i −1.30521 0.321706i
\(706\) −2.43432 3.52673i −0.0916169 0.132730i
\(707\) −5.63936 + 14.8698i −0.212090 + 0.559236i
\(708\) 1.99856 + 5.26978i 0.0751107 + 0.198051i
\(709\) 3.54334 + 29.1820i 0.133073 + 1.09595i 0.894300 + 0.447468i \(0.147674\pi\)
−0.761227 + 0.648485i \(0.775403\pi\)
\(710\) 3.10037 + 4.49166i 0.116355 + 0.168569i
\(711\) 16.0471 3.95525i 0.601812 0.148333i
\(712\) 14.2556 + 12.6294i 0.534251 + 0.473305i
\(713\) 0.534089 1.40828i 0.0200018 0.0527404i
\(714\) 7.87206 + 1.94029i 0.294605 + 0.0726135i
\(715\) 28.4607 2.62515i 1.06437 0.0981749i
\(716\) 15.2041 3.74747i 0.568203 0.140049i
\(717\) 1.69351 13.9473i 0.0632452 0.520871i
\(718\) 3.68255 1.93275i 0.137432 0.0721296i
\(719\) −8.74137 23.0491i −0.325998 0.859586i −0.993380 0.114871i \(-0.963355\pi\)
0.667382 0.744715i \(-0.267415\pi\)
\(720\) 14.2908 + 3.52237i 0.532587 + 0.131271i
\(721\) 20.6462 18.2909i 0.768904 0.681189i
\(722\) 52.9778 + 13.0578i 1.97163 + 0.485963i
\(723\) 22.4649 11.7905i 0.835480 0.438494i
\(724\) 5.99363 3.14570i 0.222751 0.116909i
\(725\) 4.77947 + 39.3624i 0.177505 + 1.46188i
\(726\) −0.817060 6.72909i −0.0303239 0.249740i
\(727\) −0.203738 + 0.180496i −0.00755621 + 0.00669422i −0.666892 0.745154i \(-0.732376\pi\)
0.659336 + 0.751848i \(0.270837\pi\)
\(728\) 16.0450 10.4047i 0.594667 0.385624i
\(729\) −0.748511 0.663123i −0.0277226 0.0245601i
\(730\) −14.9081 + 21.5981i −0.551773 + 0.799382i
\(731\) −4.83694 + 12.7540i −0.178901 + 0.471722i
\(732\) −0.122970 1.01275i −0.00454509 0.0374322i
\(733\) 1.05511 8.68964i 0.0389715 0.320959i −0.960166 0.279431i \(-0.909854\pi\)
0.999137 0.0415283i \(-0.0132227\pi\)
\(734\) −11.5197 6.04600i −0.425200 0.223162i
\(735\) 2.54838 3.69196i 0.0939982 0.136180i
\(736\) 0.201023 + 0.530054i 0.00740980 + 0.0195380i
\(737\) 1.77111 1.56907i 0.0652397 0.0577974i
\(738\) 1.47467 2.13643i 0.0542833 0.0786430i
\(739\) 1.47077 + 2.13078i 0.0541031 + 0.0783819i 0.849102 0.528229i \(-0.177144\pi\)
−0.794999 + 0.606611i \(0.792528\pi\)
\(740\) 0.181182 + 1.49217i 0.00666038 + 0.0548531i
\(741\) −24.7624 + 8.58253i −0.909670 + 0.315287i
\(742\) −1.72682 + 14.2216i −0.0633934 + 0.522092i
\(743\) 23.3495 12.2548i 0.856611 0.449584i 0.0215670 0.999767i \(-0.493134\pi\)
0.835044 + 0.550183i \(0.185442\pi\)
\(744\) 7.00156 + 18.4616i 0.256690 + 0.676835i
\(745\) −0.326300 + 2.68732i −0.0119547 + 0.0984558i
\(746\) −8.31126 −0.304297
\(747\) −1.69355 + 13.9476i −0.0619637 + 0.510317i
\(748\) −1.90306 2.75706i −0.0695829 0.100808i
\(749\) 7.57137 1.86617i 0.276652 0.0681885i
\(750\) −2.10196 + 3.04522i −0.0767528 + 0.111196i
\(751\) 11.3040 2.78618i 0.412488 0.101669i −0.0276101 0.999619i \(-0.508790\pi\)
0.440098 + 0.897950i \(0.354944\pi\)
\(752\) 50.3139 + 26.4068i 1.83476 + 0.962956i
\(753\) 1.37497 + 0.721641i 0.0501068 + 0.0262981i
\(754\) 1.56675 54.2854i 0.0570576 1.97696i
\(755\) 51.0628 26.7998i 1.85836 0.975345i
\(756\) 1.41209 0.0513573
\(757\) 21.4242 + 11.2443i 0.778675 + 0.408680i 0.806725 0.590926i \(-0.201238\pi\)
−0.0280507 + 0.999607i \(0.508930\pi\)
\(758\) 18.3806 48.4658i 0.667615 1.76036i
\(759\) −0.0540914 0.445483i −0.00196339 0.0161700i
\(760\) −48.4229 + 11.9352i −1.75648 + 0.432934i
\(761\) −17.2356 + 4.24819i −0.624790 + 0.153997i −0.538985 0.842315i \(-0.681192\pi\)
−0.0858044 + 0.996312i \(0.527346\pi\)
\(762\) 2.16561 + 17.8354i 0.0784519 + 0.646109i
\(763\) 4.10046 10.8120i 0.148447 0.391422i
\(764\) 0.0801551 + 0.0420687i 0.00289991 + 0.00152199i
\(765\) 6.50363 0.235139
\(766\) 40.3524 21.1786i 1.45799 0.765213i
\(767\) 33.4465 + 5.04412i 1.20768 + 0.182133i
\(768\) −11.7304 6.15658i −0.423283 0.222156i
\(769\) −14.2076 7.45672i −0.512339 0.268896i 0.188680 0.982039i \(-0.439579\pi\)
−0.701019 + 0.713142i \(0.747271\pi\)
\(770\) 29.1750 7.19098i 1.05139 0.259145i
\(771\) −5.24978 + 7.60562i −0.189066 + 0.273910i
\(772\) 5.10765 1.25892i 0.183828 0.0453097i
\(773\) −16.5769 24.0158i −0.596230 0.863789i 0.402434 0.915449i \(-0.368164\pi\)
−0.998665 + 0.0516600i \(0.983549\pi\)
\(774\) −1.23966 + 10.2095i −0.0445588 + 0.366975i
\(775\) 37.1476 1.33438
\(776\) 3.41395 28.1164i 0.122554 1.00932i
\(777\) −0.685831 1.80839i −0.0246040 0.0648755i
\(778\) −45.8546 + 24.0664i −1.64397 + 0.862821i
\(779\) −1.41033 + 11.6151i −0.0505302 + 0.416154i
\(780\) −4.50798 + 4.80192i −0.161412 + 0.171936i
\(781\) 0.349761 + 2.88054i 0.0125154 + 0.103074i
\(782\) 0.337287 + 0.488645i 0.0120614 + 0.0174739i
\(783\) −5.30565 + 7.68656i −0.189608 + 0.274695i
\(784\) −5.34566 + 4.73584i −0.190916 + 0.169137i
\(785\) 16.5890 + 43.7416i 0.592087 + 1.56121i
\(786\) 14.8972 21.5823i 0.531366 0.769816i
\(787\) −23.4601 12.3128i −0.836264 0.438905i −0.00848771 0.999964i \(-0.502702\pi\)
−0.827776 + 0.561059i \(0.810394\pi\)
\(788\) −1.54982 + 12.7639i −0.0552100 + 0.454696i
\(789\) 0.118480 + 0.975769i 0.00421799 + 0.0347383i
\(790\) −28.7383 + 75.7768i −1.02246 + 2.69602i
\(791\) 10.4566 15.1490i 0.371795 0.538638i
\(792\) 4.40340 + 3.90107i 0.156468 + 0.138619i
\(793\) −5.65975 2.33537i −0.200984 0.0829315i
\(794\) 41.6913 36.9353i 1.47957 1.31078i
\(795\) 1.38518 + 11.4080i 0.0491273 + 0.404600i
\(796\) −0.665091 5.47752i −0.0235735 0.194145i
\(797\) 0.294004 0.154305i 0.0104142 0.00546577i −0.459508 0.888174i \(-0.651974\pi\)
0.469922 + 0.882708i \(0.344282\pi\)
\(798\) −24.3964 + 12.8042i −0.863622 + 0.453264i
\(799\) 24.3784 + 6.00874i 0.862447 + 0.212574i
\(800\) −10.4655 + 9.27163i −0.370012 + 0.327802i
\(801\) 8.19486 + 2.01985i 0.289551 + 0.0713679i
\(802\) −17.9959 47.4513i −0.635457 1.67556i
\(803\) −12.3546 + 6.48419i −0.435984 + 0.228822i
\(804\) −0.0657245 + 0.541290i −0.00231793 + 0.0190898i
\(805\) −1.19444 + 0.294404i −0.0420986 + 0.0103764i
\(806\) −50.3096 7.58728i −1.77208 0.267250i
\(807\) 1.29133 + 0.318284i 0.0454569 + 0.0112041i
\(808\) 5.41399 14.2755i 0.190464 0.502211i
\(809\) 39.4537 + 34.9530i 1.38712 + 1.22888i 0.942949 + 0.332938i \(0.108040\pi\)
0.444171 + 0.895942i \(0.353498\pi\)
\(810\) 4.76110 1.17351i 0.167288 0.0412328i
\(811\) 6.31525 + 9.14922i 0.221758 + 0.321273i 0.918034 0.396502i \(-0.129776\pi\)
−0.696275 + 0.717775i \(0.745161\pi\)
\(812\) −1.58973 13.0926i −0.0557885 0.459460i
\(813\) −0.0154693 0.0407893i −0.000542533 0.00143054i
\(814\) −1.22678 + 3.23476i −0.0429988 + 0.113378i
\(815\) 26.3349 + 38.1527i 0.922472 + 1.33643i
\(816\) −10.0528 2.47779i −0.351918 0.0867400i
\(817\) −16.4374 43.3419i −0.575072 1.51634i
\(818\) 8.49796 22.4073i 0.297124 0.783453i
\(819\) 4.15322 7.38721i 0.145125 0.258130i
\(820\) 1.04271 + 2.74941i 0.0364131 + 0.0960135i
\(821\) −7.06694 + 6.26076i −0.246638 + 0.218502i −0.777380 0.629031i \(-0.783452\pi\)
0.530742 + 0.847533i \(0.321913\pi\)
\(822\) −13.8334 −0.482496
\(823\) −0.941410 −0.0328155 −0.0164077 0.999865i \(-0.505223\pi\)
−0.0164077 + 0.999865i \(0.505223\pi\)
\(824\) −19.8211 + 17.5599i −0.690500 + 0.611730i
\(825\) 9.80026 5.14357i 0.341201 0.179076i
\(826\) 35.5602 1.23730
\(827\) −39.0378 20.4886i −1.35748 0.712459i −0.380296 0.924865i \(-0.624178\pi\)
−0.977182 + 0.212406i \(0.931870\pi\)
\(828\) 0.0774048 + 0.0685746i 0.00269000 + 0.00238313i
\(829\) 10.9698 + 15.8924i 0.380995 + 0.551967i 0.965827 0.259188i \(-0.0834548\pi\)
−0.584832 + 0.811155i \(0.698839\pi\)
\(830\) −51.5692 45.6863i −1.78999 1.58580i
\(831\) 1.06288 + 1.53985i 0.0368709 + 0.0534167i
\(832\) −13.2200 + 8.57279i −0.458322 + 0.297208i
\(833\) −1.79264 + 2.59709i −0.0621113 + 0.0899837i
\(834\) −11.8763 + 2.92725i −0.411244 + 0.101362i
\(835\) 46.4351 41.1379i 1.60695 1.42364i
\(836\) 11.0538 + 2.72452i 0.382303 + 0.0942293i
\(837\) 6.54951 + 5.80236i 0.226384 + 0.200559i
\(838\) −35.9082 31.8119i −1.24043 1.09892i
\(839\) 7.46463 19.6826i 0.257708 0.679519i −0.742248 0.670125i \(-0.766240\pi\)
0.999956 0.00939427i \(-0.00299033\pi\)
\(840\) 9.16118 13.2723i 0.316091 0.457936i
\(841\) 51.5629 + 27.0623i 1.77803 + 0.933182i
\(842\) 6.15504 50.6913i 0.212117 1.74694i
\(843\) −21.7952 5.37204i −0.750667 0.185023i
\(844\) −12.6720 −0.436190
\(845\) 11.8619 + 37.7063i 0.408062 + 1.29714i
\(846\) 18.9309 0.650858
\(847\) −9.59241 2.36432i −0.329599 0.0812389i
\(848\) 2.20518 18.1613i 0.0757263 0.623662i
\(849\) 21.5889 + 11.3307i 0.740930 + 0.388870i
\(850\) −8.31881 + 12.0519i −0.285333 + 0.413376i
\(851\) 0.0502254 0.132434i 0.00172171 0.00453976i
\(852\) −0.500508 0.443411i −0.0171471 0.0151910i
\(853\) 26.1494 + 23.1663i 0.895337 + 0.793199i 0.979120 0.203285i \(-0.0651617\pi\)
−0.0837826 + 0.996484i \(0.526700\pi\)
\(854\) −6.24976 1.54043i −0.213862 0.0527123i
\(855\) −16.5431 + 14.6559i −0.565761 + 0.501221i
\(856\) −7.26879 + 1.79159i −0.248442 + 0.0612355i
\(857\) −2.27705 + 3.29888i −0.0777825 + 0.112687i −0.859944 0.510388i \(-0.829502\pi\)
0.782162 + 0.623076i \(0.214117\pi\)
\(858\) −14.3232 + 4.96435i −0.488986 + 0.169480i
\(859\) 6.27825 + 9.09562i 0.214211 + 0.310338i 0.915329 0.402707i \(-0.131931\pi\)
−0.701118 + 0.713046i \(0.747315\pi\)
\(860\) −8.71979 7.72506i −0.297342 0.263422i
\(861\) −2.14929 3.11378i −0.0732475 0.106117i
\(862\) 26.5550 + 23.5257i 0.904467 + 0.801288i
\(863\) −20.3189 10.6642i −0.691664 0.363013i 0.0819801 0.996634i \(-0.473876\pi\)
−0.773644 + 0.633621i \(0.781568\pi\)
\(864\) −3.29339 −0.112043
\(865\) 13.3012 6.98098i 0.452253 0.237361i
\(866\) 13.0670 11.5764i 0.444035 0.393381i
\(867\) 12.4251 0.421977
\(868\) −12.3559 −0.419386
\(869\) −32.2517 + 28.5725i −1.09406 + 0.969255i
\(870\) −16.2405 42.8227i −0.550605 1.45183i
\(871\) 2.63839 + 1.93586i 0.0893986 + 0.0655943i
\(872\) −3.93659 + 10.3799i −0.133310 + 0.351509i
\(873\) −4.45086 11.7360i −0.150639 0.397202i
\(874\) −1.95911 0.482876i −0.0662678 0.0163335i
\(875\) 3.06355 + 4.43832i 0.103567 + 0.150042i
\(876\) 1.14016 3.00636i 0.0385225 0.101575i
\(877\) 13.2637 + 34.9734i 0.447882 + 1.18097i 0.948913 + 0.315539i \(0.102185\pi\)
−0.501030 + 0.865430i \(0.667045\pi\)
\(878\) −3.82101 31.4688i −0.128953 1.06202i
\(879\) 6.67616 + 9.67209i 0.225181 + 0.326232i
\(880\) −37.2570 + 9.18304i −1.25593 + 0.309560i
\(881\) 21.1399 + 18.7283i 0.712223 + 0.630974i 0.939378 0.342885i \(-0.111404\pi\)
−0.227155 + 0.973859i \(0.572942\pi\)
\(882\) −0.843721 + 2.22471i −0.0284095 + 0.0749098i
\(883\) −9.24269 2.27812i −0.311041 0.0766647i 0.0807052 0.996738i \(-0.474283\pi\)
−0.391746 + 0.920073i \(0.628129\pi\)
\(884\) 3.17111 3.37788i 0.106656 0.113610i
\(885\) 27.6961 6.82647i 0.930993 0.229469i
\(886\) 0.875513 7.21049i 0.0294134 0.242241i
\(887\) 50.2126 26.3536i 1.68597 0.884867i 0.700788 0.713369i \(-0.252832\pi\)
0.985185 0.171497i \(-0.0548605\pi\)
\(888\) 0.658422 + 1.73612i 0.0220952 + 0.0582603i
\(889\) 25.4246 + 6.26661i 0.852715 + 0.210175i
\(890\) −30.9785 + 27.4446i −1.03840 + 0.919944i
\(891\) 2.53130 + 0.623911i 0.0848019 + 0.0209018i
\(892\) 6.33157 3.32306i 0.211997 0.111264i
\(893\) −75.5514 + 39.6524i −2.52823 + 1.32692i
\(894\) −0.173063 1.42530i −0.00578810 0.0476693i
\(895\) −9.55295 78.6756i −0.319320 2.62983i
\(896\) −23.9873 + 21.2509i −0.801359 + 0.709942i
\(897\) 0.586403 0.203244i 0.0195794 0.00678613i
\(898\) 11.9725 + 10.6067i 0.399527 + 0.353950i
\(899\) 46.4248 67.2579i 1.54835 2.24318i
\(900\) −0.904431 + 2.38479i −0.0301477 + 0.0794930i
\(901\) −0.974397 8.02488i −0.0324619 0.267348i
\(902\) −0.815769 + 6.71846i −0.0271621 + 0.223700i
\(903\) 13.2725 + 6.96593i 0.441680 + 0.231812i
\(904\) −10.0387 + 14.5436i −0.333884 + 0.483714i
\(905\) −12.1484 32.0327i −0.403826 1.06480i
\(906\) −22.8941 + 20.2824i −0.760606 + 0.673838i
\(907\) −13.6889 + 19.8318i −0.454532 + 0.658503i −0.981518 0.191371i \(-0.938707\pi\)
0.526986 + 0.849874i \(0.323322\pi\)
\(908\) −0.274262 0.397338i −0.00910172 0.0131861i
\(909\) −0.815555 6.71670i −0.0270503 0.222779i
\(910\) 18.2426 + 37.3382i 0.604737 + 1.23775i
\(911\) −0.0917004 + 0.755221i −0.00303817 + 0.0250216i −0.994149 0.108016i \(-0.965550\pi\)
0.991111 + 0.133038i \(0.0424732\pi\)
\(912\) 31.1547 16.3512i 1.03163 0.541444i
\(913\) −12.9890 34.2491i −0.429872 1.13348i
\(914\) 0.858289 7.06864i 0.0283897 0.233810i
\(915\) −5.16334 −0.170695
\(916\) −0.810977 + 6.67900i −0.0267954 + 0.220680i
\(917\) −21.7123 31.4556i −0.717002 1.03876i
\(918\) −3.34917 + 0.825496i −0.110539 + 0.0272454i
\(919\) 4.54168 6.57976i 0.149816 0.217046i −0.740889 0.671627i \(-0.765596\pi\)
0.890705 + 0.454581i \(0.150211\pi\)
\(920\) 1.14671 0.282638i 0.0378059 0.00931831i
\(921\) 3.89410 + 2.04378i 0.128315 + 0.0673450i
\(922\) −6.94324 3.64409i −0.228663 0.120012i
\(923\) −3.79175 + 1.31420i −0.124807 + 0.0432574i
\(924\) −3.25973 + 1.71084i −0.107237 + 0.0562824i
\(925\) 3.49334 0.114860
\(926\) 13.0143 + 6.83042i 0.427676 + 0.224462i
\(927\) −4.16136 + 10.9726i −0.136677 + 0.360387i
\(928\) 3.70769 + 30.5355i 0.121711 + 1.00238i
\(929\) 5.09523 1.25586i 0.167169 0.0412035i −0.154843 0.987939i \(-0.549487\pi\)
0.322012 + 0.946736i \(0.395641\pi\)
\(930\) −41.6599 + 10.2683i −1.36608 + 0.336709i
\(931\) −1.29264 10.6458i −0.0423645 0.348903i
\(932\) −0.294651 + 0.776930i −0.00965161 + 0.0254492i
\(933\) −6.26391 3.28755i −0.205071 0.107630i
\(934\) 1.76212 0.0576582
\(935\) −15.0132 + 7.87955i −0.490985 + 0.257689i
\(936\) −3.98724 + 7.09199i −0.130327 + 0.231809i
\(937\) −7.75512 4.07020i −0.253349 0.132968i 0.333269 0.942832i \(-0.391848\pi\)
−0.586617 + 0.809864i \(0.699541\pi\)
\(938\) 3.04626 + 1.59880i 0.0994638 + 0.0522026i
\(939\) −25.6394 + 6.31954i −0.836710 + 0.206231i
\(940\) −12.1813 + 17.6476i −0.397309 + 0.575602i
\(941\) −41.8907 + 10.3251i −1.36560 + 0.336590i −0.852943 0.522005i \(-0.825184\pi\)
−0.512655 + 0.858594i \(0.671338\pi\)
\(942\) −14.0949 20.4200i −0.459237 0.665319i
\(943\) 0.0333982 0.275059i 0.00108759 0.00895714i
\(944\) −45.4112 −1.47801
\(945\) 0.861457 7.09474i 0.0280232 0.230792i
\(946\) −9.50781 25.0700i −0.309126 0.815097i
\(947\) −36.9954 + 19.4167i −1.20219 + 0.630958i −0.942329 0.334688i \(-0.891369\pi\)
−0.259861 + 0.965646i \(0.583677\pi\)
\(948\) 1.19683 9.85681i 0.0388713 0.320134i
\(949\) −12.3740 14.8069i −0.401678 0.480652i
\(950\) −5.99854 49.4024i −0.194618 1.60283i
\(951\) 11.5151 + 16.6825i 0.373403 + 0.540968i
\(952\) −6.44438 + 9.33629i −0.208863 + 0.302591i
\(953\) −9.53866 + 8.45051i −0.308987 + 0.273739i −0.803338 0.595524i \(-0.796945\pi\)
0.494350 + 0.869263i \(0.335406\pi\)
\(954\) −2.16133 5.69895i −0.0699755 0.184510i
\(955\) 0.260264 0.377057i 0.00842193 0.0122013i
\(956\) −7.47389 3.92260i −0.241723 0.126866i
\(957\) 2.93502 24.1721i 0.0948758 0.781372i
\(958\) 1.24330 + 10.2395i 0.0401692 + 0.330823i
\(959\) −7.14948 + 18.8516i −0.230869 + 0.608751i
\(960\) −7.54821 + 10.9355i −0.243618 + 0.352941i
\(961\) −34.1048 30.2142i −1.10015 0.974652i
\(962\) −4.73108 0.713503i −0.152536 0.0230043i
\(963\) −2.48329 + 2.20000i −0.0800230 + 0.0708941i
\(964\) −1.83725 15.1311i −0.0591739 0.487341i
\(965\) −3.20922 26.4303i −0.103308 0.850820i
\(966\) 0.577734 0.303218i 0.0185883 0.00975588i
\(967\) 35.9229 18.8538i 1.15520 0.606297i 0.225367 0.974274i \(-0.427642\pi\)
0.929835 + 0.367977i \(0.119950\pi\)
\(968\) 9.20906 + 2.26983i 0.295991 + 0.0729551i
\(969\) 11.6371 10.3096i 0.373839 0.331192i
\(970\) 59.7595 + 14.7294i 1.91876 + 0.472932i
\(971\) 8.70900 + 22.9637i 0.279485 + 0.736942i 0.999094 + 0.0425619i \(0.0135520\pi\)
−0.719609 + 0.694380i \(0.755679\pi\)
\(972\) −0.531960 + 0.279194i −0.0170626 + 0.00895515i
\(973\) −2.14886 + 17.6975i −0.0688893 + 0.567355i
\(974\) −32.9737 + 8.12728i −1.05655 + 0.260415i
\(975\) 9.81568 + 11.7455i 0.314353 + 0.376158i
\(976\) 7.98108 + 1.96716i 0.255468 + 0.0629672i
\(977\) 10.8100 28.5037i 0.345843 0.911914i −0.643386 0.765542i \(-0.722471\pi\)
0.989230 0.146372i \(-0.0467598\pi\)
\(978\) −18.4043 16.3048i −0.588506 0.521371i
\(979\) −21.3645 + 5.26588i −0.682812 + 0.168298i
\(980\) −1.53100 2.21804i −0.0489060 0.0708525i
\(981\) 0.593002 + 4.88381i 0.0189331 + 0.155928i
\(982\) −4.76702 12.5696i −0.152122 0.401112i
\(983\) 5.62710 14.8374i 0.179477 0.473241i −0.814842 0.579683i \(-0.803177\pi\)
0.994319 + 0.106442i \(0.0339458\pi\)
\(984\) 2.06339 + 2.98934i 0.0657786 + 0.0952968i
\(985\) 63.1839 + 15.5734i 2.01321 + 0.496211i
\(986\) 11.4243 + 30.1234i 0.363824 + 0.959324i
\(987\) 9.78399 25.7983i 0.311428 0.821168i
\(988\) −0.454228 + 15.7383i −0.0144509 + 0.500702i
\(989\) 0.389257 + 1.02639i 0.0123776 + 0.0326372i
\(990\) −9.56894 + 8.47734i −0.304121 + 0.269427i
\(991\) −3.02670 −0.0961464 −0.0480732 0.998844i \(-0.515308\pi\)
−0.0480732 + 0.998844i \(0.515308\pi\)
\(992\) 28.8173 0.914951
\(993\) −2.40512 + 2.13075i −0.0763243 + 0.0676174i
\(994\) −3.73569 + 1.96064i −0.118489 + 0.0621878i
\(995\) −27.9263 −0.885323
\(996\) 7.47406 + 3.92269i 0.236825 + 0.124295i
\(997\) 33.1053 + 29.3288i 1.04846 + 0.928852i 0.997557 0.0698523i \(-0.0222528\pi\)
0.0508993 + 0.998704i \(0.483791\pi\)
\(998\) 31.6850 + 45.9037i 1.00297 + 1.45306i
\(999\) 0.615912 + 0.545651i 0.0194866 + 0.0172636i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 507.2.m.a.40.12 180
169.131 even 13 inner 507.2.m.a.469.12 yes 180
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
507.2.m.a.40.12 180 1.1 even 1 trivial
507.2.m.a.469.12 yes 180 169.131 even 13 inner